On the Diophantine Equation $\left(9d^2 + 1\right)^x + \left(16d^2 - 1\right)^y = (5d)^z$ Regarding Terai's Conjecture
This study proves that the Diophantine equation $\left(9d^2+1\right)^x+\left(16d^2-1\right)^y=(5d)^z$ has a unique positive integer solution $(x,y,z)=(1,1,2)$, for all $d>1$. The proof employs elementary number theory techniques, including linear forms in two logarithms and Zsigmondy's Primitive...
Na minha lista:
| Principais autores: | , |
|---|---|
| 格式: | Artigo |
| 語言: | Inglês |
| 出版: |
Naim Çağman
2024-06-01
|
| 叢編: | Journal of New Theory |
| 主題: | |
| 在線閱讀: | https://dergipark.org.tr/en/download/article-file/3910365 |
| 標簽: |
沒有標簽, 成為第一個標記此記錄!
|